Treadmill Incline ↔ Pace Calculator

Convert treadmill pace at an incline to the flat pace of equal effort, and back

Your Run

Direction
Pace unit

Negative values are a decline (−10% to 30%)

Results

Enter a pace and incline

This is what your result will look like

Training Disclaimer: Results are estimates from a published energy-cost model at steady speeds. Real effort varies with fitness, fatigue, form and treadmill calibration. Check the treadmill's speed and incline limits, hold the rails only if needed and stop if you feel dizzy or unwell. Not a substitute for professional coaching or medical advice. Consult a healthcare provider before starting a new exercise programme.

Running on a treadmill incline is harder than running on a flat surface at the same speed. This calculator converts between a treadmill pace at a given incline and the flat pace that takes about the same effort, so you can compare hill sessions with flat runs.

It uses the Minetti et al. (2002) model of the energy cost of running on slopes. The cost per metre on a gradient i (as a fraction, 5% = 0.05) is Cr = 155.4i⁵ − 30.4i⁴ − 43.3i³ + 46.3i² + 19.5i + 3.6 (J/kg/m), and the flat-equivalent speed is the treadmill speed × Cr ÷ 3.6.

Worked example: running at 6:00 min/km on a 5% incline costs about 30% more energy than flat running at the same speed, so it is roughly like running 4:37 min/km on a flat road. Use it as a guide to effort, not as an exact prediction of race pace.

Model
Minetti et al. 2002
Incline Range
−10% to 30%
5% Incline
≈ +30% energy
Use For
Effort comparison
Formula:Flat-equivalent speed = Treadmill speed × Cr(i) ÷ 3.6
1
Direction: Choose Treadmill → Flat to find the flat-equivalent pace, or Flat → Treadmill to find the treadmill pace to set.
2
Pace unit: Choose min/km or min/mile for the pace you enter and see.
3
Pace: Your treadmill pace (or your flat pace, depending on the direction) in minutes and seconds.
4
Incline: Treadmill incline in percent. The calculator accepts −10% to 30%, and negative values are a decline.
Source: Minetti AE et al., "Energy cost of walking and running at extreme uphill and downhill slopes", J Appl Physiol (2002)

Treadmill hill workouts are a great way to build strength, but pace alone is misleading on a slope. A slower pace at 5% incline can be the same effort as a fast flat pace, so converting helps you pick sensible targets and compare sessions.

It also works the other way around. If you know the flat pace you want to train at in effort terms, the calculator shows the treadmill pace to set at different inclines, which helps when you are planning hill intervals.

The model is based on energy cost at steady speeds. Real-life effort also depends on fitness, running form, fatigue and how the treadmill is calibrated. A 1% incline is often used to make treadmill running feel like outdoor running because it offsets the lack of air resistance, and that small effect is not included here.

In the model, a 1% incline raises the energy cost of running by about 5-6% at the same speed. Separately, runners often set the treadmill to 1% to roughly offset the lack of air resistance indoors (Jones and Doust, 1996). This calculator does not include that air-resistance effect.

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